Step-by-step explanation:
Okay, so the denominators are all the same; therefore making it easier to plot.
Plot 5/6 five lines away from the origin, which is 0/6
Plot 3/6 three lines away from the origin which is 0/6
Answer:
4/5
Step-by-step explanation:
In a right triangle, the longest side is always the hypotenuse. Hence
Hypotenuse =5cm
The side opposite to the angle theta is the opposite, hence
Opposite = 4cm
Required
Sin theta
According to SOH CAH TOA
Sin theta = opposite/hypotenuse
Sin theta = 4/5
Hence the sine of the angle opposite the side of length 4cm is 4/5
Answer:
He can give 4 friends pieces of a candy bar.
Step-by-step explanation:
Each person has to have exactly 3/4 a candy bar.
If you divide all 3 1/2 candy bars into fourths, you will have 14 pieces.
So then, take out portions of 3 at a time, so take out 3 of these pieces, you have one friend. Take out another 3 pieces you now took 6 out and gave to 2 friends. Take another three and you've taken out 9 pieces for 3 friends. Take one more set of 3 pieces you now have taken out 12 pieces for 4 friends. There are only 2 more pieces left which is not enough for another friend so you have 4 friends that got some chocolate.
Hope this helps!! :)
Answer:By multiplying with (1+0.01x) where x is the percentage of increase, monthly pay rate of 21$ after marked up 78.7% and 10% profit will be $41.28.
Step-by-step explanation:
Given that pay rate is 21$ and it is marked up by 78.7% and made a 10% profit.
If any value marked up or made a profit of x% then we have to multiply with (1+0.01x) to find the new value.
New pay after 78.7% marked up using above formula is 
Now we have to use above formula again for 10% profit.
Hence new value 
≈$41.28
We need to build a system of equations:
a + b + c = 127......(1)
b - c = 13..............(2)
a - b - c = 41..........(3)
adding equations (1) and (3):-
2a = 168
a = 84
Substituting for in equation (1)-
84 + b + c = 127
b + c = 43...........(4)
Adding equations (2) and (4):-
2b = 56
b = 28
Finally from equation (2)
c = 28-13 = 15
Answer is Country a had 84 points , b had 28 points and c had 15 points.
